A vicious monopolist gets hold of the production of the Pfizer and J&J vaccines in one country and starts selling vaccines to people in the country. Some people prefer to receive two shots of the Pfizer vaccine, while others prefer a single shot of the J&J vaccine to become fully immunized. Nobody needs immunization by both vaccines. The demand for (2 dozes) of the Pfizer vaccine is Qpf = 30 6p, and the demand for a single doze of the J&J vaccine is Qjj = 40 4p. Assume that the marginal cost of producing one doze of either vaccine is MC = 1. The demand quantities Qpf and Qjj are measured in millions of dozes, and the prices p and MC are measured in the country's currency.

(a) Suppose, the price of one shot of a vaccine is p = 8. What is the market demand for immunization?

(b) Suppose, the price of one shot of a vaccine is p = 3. What is the market demand for immunization?

(c) Derive the market demand for immunization for any price p.

(d) Suppose, the monopolist charges the same price per one shot of either vaccine. How many dozes of each vaccine will be provided? What profits will the monopolist earn?

(e) Suppose the monopolist charges prices Ppf and Pjj per one doze of the Pfizer and J&J vaccines, respectively. How many dozes of each vaccine will be provided? What profits will the monopolist earn?